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Finding the Fourth Proportional to 9,884, 14,826.72 and 2,959.04

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Solution

The fourth proportional to 9,884, 14,826.72 and 2,959.04 is: 4,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884 : 14,826.72 = 2,959.04 : x
  2. Step 2: Convert to fraction form
    9,884/14,826.72 = 2,959.04/x
  3. Step 3: Cross multiply
    9,884x = 14,826.72 × 2,959.04
  4. Step 4: Simplify right side
    9,884x = 43,872,857.55
  5. Step 5: Solve for x
    x = 43,872,857.55/9,884
  6. Step 6: Final answer
    x = 4,438.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.